US8487729B2ActiveUtilityPatentIndex 73
Magnetic solenoid for generating a substantially uniform magnetic field
Est. expiryFeb 2, 2029(~2.6 yrs left)· nominal 20-yr term from priority
Inventors:BULATOWICZ MICHAEL D
G01R 33/381H01F 7/202G01C 19/60
73
PatentIndex Score
6
Cited by
19
References
19
Claims
Abstract
One embodiment of the invention includes a magnetic solenoid. The magnetic solenoid includes an elongated sidewall that extends along and surrounds a central axis between spaced apart ends. The central axis can include a center point that is approximately equidistant from the spaced apart ends. The magnetic solenoid also includes a conductive coil that extends along and conforms to the elongated sidewall and comprises a plurality of consecutive loops centered on the central axis. The plurality of consecutive loops can have a consecutive loop-spacing that is non-uniform along the central axis and having a substantial maximum spacing value at approximately the center point.
Claims
exact text as granted — not AI-modifiedWhat is claimed is:
1. A magnetic solenoid comprising:
an elongated sidewall that extends along and surrounds a central axis between spaced apart ends, the central axis comprising a center point that is approximately equidistant from the spaced apart ends;
a conductive coil that extends along and conforms to the elongated sidewall and comprises a plurality of consecutive loops centered on the central axis, the plurality of consecutive loops having a loop-spacing that is non-uniform along the central axis and having a substantial maximum spacing value at approximately the center point; and
at least one opening in the elongated sidewall between the spaced apart ends and between a consecutive pair of the plurality of consecutive loops.
2. The magnetic solenoid of claim 1 , wherein the loop-spacing is substantially symmetrical about the center point of the central axis.
3. The magnetic solenoid of claim 2 , wherein the loop-spacing has substantial minimum spacing values at approximately the spaced apart ends.
4. The magnetic solenoid of claim 1 , wherein the loop-spacing is defined by an equation as follows:
Zc
=
D
D
*
Length
2
*
(
D
2
)
1
/
E
(
(
N
-
1
2
)
2
)
1
/
E
where:
Zc is a distance from the center point of the central axis to a given one of the plurality of consecutive loops along the central axis;
Length is a total length of the magnetic solenoid between the spaced apart ends;
N is a total quantity of the plurality of consecutive loops;
E is a constant defining exponential terms of the equation; and
D is a loop number associated with the given one of the plurality of consecutive loops, defined by steps of one unit from
-
(
N
-
1
2
)
to
(
N
-
1
2
)
.
5. The magnetic solenoid of claim 1 , wherein the at least one opening is located at a position in the elongated sidewall such that a normal axis passes through the at least one opening, the normal axis being perpendicular to the central axis and bisecting the central axis with respect to the spaced apart ends.
6. The magnetic solenoid of claim 1 , wherein the magnetic solenoid is configured to generate a substantially uniform magnetic field with respect to each point in three-dimensional space within an inner volume of the magnetic solenoid based at least in part on the loop-spacing.
7. The magnetic solenoid of claim 1 , wherein the elongated sidewall has a radius that is defined by a compound equation that varies the radius as a function of position along the central axis.
8. The magnetic solenoid of claim 7 , wherein the compound equation comprises a first operand that affects along-axis uniformity of the substantially uniform magnetic field and a second operand that affects off-axis uniformity of the substantially uniform magnetic field.
9. The magnetic solenoid of claim 7 , wherein the compound equation comprises:
a first operand that defines the radius at a midpoint of the magnetic solenoid along the central axis;
a second operand that is an exponential function that is subtracted from first operand; and
a third operand that is an exponential function that is added to the first operand, the second and third operands counteracting each other to vary the radius along a length of the magnetic solenoid from the midpoint.
10. A gyroscope system comprising the magnetic solenoid of claim 1 , the gyroscope system comprising a gyroscope cell that is enclosed within an inner volume of the magnetic solenoid.
11. A magnetic solenoid comprising:
an elongated sidewall that extends along and surrounds a central axis between spaced apart ends, the central axis comprising a center point that is approximately equidistant from the spaced apart ends; and
a conductive coil that extends along and conforms to the elongated sidewall and comprises a plurality of consecutive loops centered on the central axis, the plurality of consecutive loops having a loop-spacing that is non-uniform along the central axis, the loop-spacing being substantially symmetrical about the center point of the central axis and having a substantial maximum spacing value at approximately the center point and substantial minimum spacing values at approximately the spaced apart ends, such that the magnetic solenoid is configured to generate a substantially uniform magnetic field with respect to each point in three-dimensional space within an inner volume of the magnetic solenoid based at least in part on the loop-spacing.
12. The magnetic solenoid of claim 11 , wherein the loop-spacing is defined by an equation as follows:
Zc
=
D
D
*
Length
2
*
(
D
2
)
1
/
E
(
(
N
-
1
2
)
2
)
1
/
E
where:
Zc is a distance from the center point of the central axis to a given one of the plurality of consecutive loops along the central axis;
Length is a total length of the magnetic solenoid between the spaced apart ends;
N is a total quantity of the plurality of consecutive loops;
E is a constant defining exponential terms of the equation; and
D is a loop number associated with the given one of the plurality of consecutive loops, defined by steps of one unit from
-
(
N
-
1
2
)
to
(
N
-
1
2
)
.
13. The magnetic solenoid of claim 11 , further comprising at least one opening in the elongated sidewall between the spaced apart ends and between a consecutive pair of the plurality of consecutive loops.
14. The magnetic solenoid of claim 13 , wherein the at least one opening is located at a position in the elongated sidewall such that a normal axis passes through the at least one opening, the normal axis being perpendicular to the central axis and bisecting the central axis with respect to the spaced apart ends.
15. A magnetic solenoid comprising:
an elongated sidewall that extends along and surrounds a central axis between spaced apart ends, the central axis comprising a center point that is approximately equidistant from the spaced apart ends, the elongated sidewall having a radius that is defined by a compound equation that varies the radius as a function of position along the central axis; and
a conductive coil that extends along and conforms to the elongated sidewall and comprises a plurality of consecutive loops centered on the central axis, the plurality of consecutive loops having a consecutive loop-spacing that is non-uniform along the central axis and having a substantial maximum spacing value at approximately the center point, the magnetic solenoid being configured to generate a substantially uniform magnetic field with respect to each point in three-dimensional space within an inner volume of the magnetic solenoid based on the consecutive loop-spacing and the geometry of the elongated sidewall.
16. The magnetic solenoid of claim 15 , wherein the compound equation comprises a first operand that affects along-axis uniformity of the substantially uniform magnetic field and a second operand that affects off-axis uniformity of the substantially uniform magnetic field.
17. The magnetic solenoid of claim 16 , wherein the first operand comprises a substantially elliptical function with respect to the radius along the central axis and having a minor axis bisected by the central axis, and wherein the second operand comprises an exponential function that causes the radius to flare outward from the central axis at the spaced apart ends.
18. The magnetic solenoid of claim 15 , wherein the compound equation comprises:
a first operand that defines the radius at a midpoint of the magnetic solenoid along the central axis;
a second operand that is an exponential function that is subtracted from first operand; and
a third operand that is an exponential function that is added to the first operand, the second and third operands counteracting each other to vary the radius along a length of the magnetic solenoid from the midpoint.
19. The magnetic solenoid of claim 15 , wherein the consecutive loop-spacing is substantially symmetrical about the center point of the central axis and has a substantial maximum spacing value at approximately the center point and substantial minimum spacing values at approximately the spaced apart ends.Cited by (0)
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